A method for obtaining bounds on eigenvalues and eigenfunctions by solving non-homogeneous integral equations

DOI10.1007/BF02242379zbMath0264.65079OpenAlexW127178380MaRDI QIDQ2561835

Yanyan Li

Publication date: 1972

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02242379

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Numerical summation of series (65B10)

Related Items (9)

Using the Monte Carlo method to solve integral equations using a modified control variate ⋮ Spectral refinement based on superconvergent Nyström and degenerate kernel methods ⋮ Discrete multi-projection methods for eigen-problems of compact integral operators ⋮ Solutions of the initial value problem for nonlinear fractional ordinary differential equations by the rach-Adomian-meyers modified decomposition method ⋮ Wavelet Galerkin method for eigenvalue problem of a compact integral operator ⋮ Discrete superconvergent Nyström method for integral equations and eigenvalue problems ⋮ Iterative solution of some nonlinear differential equations ⋮ Superconvergent Nyström and degenerate kernel methods for eigenvalue problems ⋮ Function-valued Padé-type approximant via E-algorithm and its applications in solving integral equations

Cites Work

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• On a method for obtaining bounds on the eigenvalues of certain integral equations
• A method for computing the eigenvalues of certain integral equations
• On the calculation of the largest eigenvalue of an integral equation
• On the reduction of a class of Fredholm integral equations to equivalent matrix problems
• A special method of successive approximations for Fredholm integral equations
• Eigenvalues Associated with Prolate Spheroidal Wave Functions of Zero Order
• Convergence of Picard's Method for | λ | > | λ 1 |
• Singular rules for certain non-linear algorithms
• On a Device for Computing the e m (S n ) Transformation

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